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72 lines
2.2 KiB
72 lines
2.2 KiB
<!doctype html> |
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<title>CodeMirror: Mathematica mode</title> |
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<meta charset="utf-8"/> |
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<link rel=stylesheet href="../../doc/docs.css"> |
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<link rel=stylesheet href=../../lib/codemirror.css> |
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<script src=../../lib/codemirror.js></script> |
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<script src=../../addon/edit/matchbrackets.js></script> |
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<script src=mathematica.js></script> |
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<style type=text/css> |
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.CodeMirror {border-top: 1px solid black; border-bottom: 1px solid black;} |
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</style> |
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<div id=nav> |
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<a href="http://codemirror.net"><h1>CodeMirror</h1><img id=logo src="../../doc/logo.png"></a> |
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<ul> |
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<li><a href="../../index.html">Home</a> |
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<li><a href="../../doc/manual.html">Manual</a> |
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<li><a href="https://github.com/codemirror/codemirror">Code</a> |
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</ul> |
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<ul> |
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<li><a href="../index.html">Language modes</a> |
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<li><a class=active href="#">Mathematica</a> |
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</ul> |
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</div> |
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<article> |
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<h2>Mathematica mode</h2> |
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<textarea id="mathematicaCode"> |
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(* example Mathematica code *) |
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(* Dualisiert wird anhand einer Polarität an einer |
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Quadrik $x^t Q x = 0$ mit regulärer Matrix $Q$ (also |
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mit $det(Q) \neq 0$), z.B. die Identitätsmatrix. |
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$p$ ist eine Liste von Polynomen - ein Ideal. *) |
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dualize::"singular" = "Q must be regular: found Det[Q]==0."; |
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dualize[ Q_, p_ ] := Block[ |
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{ m, n, xv, lv, uv, vars, polys, dual }, |
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If[Det[Q] == 0, |
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Message[dualize::"singular"], |
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m = Length[p]; |
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n = Length[Q] - 1; |
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xv = Table[Subscript[x, i], {i, 0, n}]; |
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lv = Table[Subscript[l, i], {i, 1, m}]; |
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uv = Table[Subscript[u, i], {i, 0, n}]; |
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(* Konstruiere Ideal polys. *) |
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If[m == 0, |
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polys = Q.uv, |
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polys = Join[p, Q.uv - Transpose[Outer[D, p, xv]].lv] |
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]; |
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(* Eliminiere die ersten n + 1 + m Variablen xv und lv |
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aus dem Ideal polys. *) |
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vars = Join[xv, lv]; |
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dual = GroebnerBasis[polys, uv, vars]; |
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(* Ersetze u mit x im Ergebnis. *) |
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ReplaceAll[dual, Rule[u, x]] |
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] |
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] |
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</textarea> |
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<script> |
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var mathematicaEditor = CodeMirror.fromTextArea(document.getElementById('mathematicaCode'), { |
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mode: 'text/x-mathematica', |
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lineNumbers: true, |
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matchBrackets: true |
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}); |
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</script> |
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<p><strong>MIME types defined:</strong> <code>text/x-mathematica</code> (Mathematica).</p> |
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</article>
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